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A Black Hole Farey Tail
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We derive an exact expression for the Fourier coefficients of elliptic genera of Calabi-Yau manifolds. When applied to k-fold symmetric products of K3 surfaces the expression is well-suited to studying the AdS/CFT correspondence on AdS3 x S3. The expression also elucidates an SL(2,Z) invariant phase diagram for the D1/D5 system involving deconfining transitions in the limit as k goes to infinity.
Forward citations
Cited by 10 Pith papers
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Macroscopic origin of the topologically twisted index on $T^2 \times \Sigma_{\mathfrak{g}}$
New supergravity black string saddles reproduce the large-N topologically twisted index of 4d N=1 SCFTs on T^2 × Σ_g via the on-shell action I = -π i c/(12τ).
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Critical dimensions and small cycle dominance from all-orders asymptotics of $d$-matrix theory
The weighted partition numbers of d-matrix theory admit an all-orders asymptotic expansion that switches from divergent to convergent at d=13 (bosonic) or 7 (fermionic).
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Covering space maps for $n$-point functions with three long twists
Explicit covering-space maps for three long twists plus any number of twist-2 operators are constructed, yielding closed-form four- and five-point bare twist correlators in the ΔN=1,2 cases.
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M\"obius randomness in the Hartle-Hawking state
The Hartle-Hawking state for toroidal quantum cosmologies is expressed in the Langlands decomposition as a sum over zeta zeros whose near-singularity dynamics follow the Hilbert-Pólya Hamiltonian and as a Möbius avera...
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New bulk cone singularities in Vaidya-like spacetimes from large $c$ conformal blocks
In a time-symmetric Vaidya-like spacetime, radial null geodesics create boundary bulk-cone singularities only when r_+ < l, and a large-c CFT2 computation reproduces the exact singularity time.
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Ramp, Plateau, and Wormholes without Averaging, and Hyper-non-perturbative Structures in Gravity
Smooth filter projection of erratic spectral data reproduces random-matrix ramp and plateau in a single chaotic system, and predicts double-exponential hyper-nonperturbative effects in holographic gravity.
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An observer's quantization of 3d de Sitter
Proposes an SL(2,Z) sum of Kerr-lens geometries in 3d dS gravity whose spectral density is computed via crosscap amplitudes in CLS ⊗ CLS, matching semi-classical predictions and reducing in a simple case to GΣ ⊗ GΣ on...
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Holographic Equidistribution
Equidistribution of Hecke operators in large N CFT limits reduces the partition function to light-state Poincaré series with an immediate interpretation as sums over handlebody geometries.
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Finite-cutoff holography and quasilocal thermodynamics of BTZ black holes in a cavity
BTZ black holes in a finite cavity obey an exact nonlinear thermodynamic equation of state that matches a TTbar-deformed field theory, with a universal phase transition temperature set by the cavity radius.
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Aspects of strings without spacetime supersymmetry
A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.
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